On the existence of a positive definite solution of the matrix equation

Salah M. El‐Sayed, Mohamed A. Ramadan · International Journal of Computer Mathematics · 2001

In this paper, an efficient and numerically stable algorithm for computing the positive definite solution of the nonlinear equation is proposed. Some properties of the solution are discussed as well as the sufficient conditions for the existence are obtained. Numerical examples are given to illustrate the accuracy of the proposed technique, which depend on iterative process

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